Answer:
-3
Step-by-step explanation:
5-2 is three
3 times -2 is -6
-9-(-6) is -3
(2,-3)
Answer:
1 5/9
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Answer:
A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.
Step-by-step explanation:
6x + 7 = 8x - 15
7 = 2x - 15
22 = 2x
11 = x
Answer:
![4ln [\frac{x^2 (x^3-1)}{x-5}]](https://tex.z-dn.net/?f=%204ln%20%5B%5Cfrac%7Bx%5E2%20%28x%5E3-1%29%7D%7Bx-5%7D%5D)
Step-by-step explanation:
For this case we have the following expression:
![4[ln(x^3-1) +2ln(x) -ln(x-5)]](https://tex.z-dn.net/?f=%204%5Bln%28x%5E3-1%29%20%2B2ln%28x%29%20-ln%28x-5%29%5D)
For this case we can apply the following property:
![a log_c (b) = log_c (b^a)](https://tex.z-dn.net/?f=%20a%20log_c%20%28b%29%20%3D%20log_c%20%28b%5Ea%29)
And we can rewrite the following expression like this:
![2 ln(x) = ln(x^2)](https://tex.z-dn.net/?f=%202%20ln%28x%29%20%3D%20ln%28x%5E2%29)
And we can rewrite like this our expression:
![4[ln(x^3-1) +ln(x^2) -ln(x-5)]](https://tex.z-dn.net/?f=%204%5Bln%28x%5E3-1%29%20%2Bln%28x%5E2%29%20-ln%28x-5%29%5D)
Now we can use the following property:
![log_c (a) +log_c (b) = log_c (ab)](https://tex.z-dn.net/?f=%20log_c%20%28a%29%20%2Blog_c%20%28b%29%20%3D%20log_c%20%28ab%29)
And we got this:
![4[ln(x^3-1)(x^2) -ln(x-5)]](https://tex.z-dn.net/?f=%204%5Bln%28x%5E3-1%29%28x%5E2%29%20-ln%28x-5%29%5D)
And now we can apply the following property:
![log_c (a) -log_c (b) = log_c (\frac{a}{b})](https://tex.z-dn.net/?f=%20log_c%20%28a%29%20-log_c%20%28b%29%20%3D%20log_c%20%28%5Cfrac%7Ba%7D%7Bb%7D%29)
And we got this:
![4ln [\frac{x^2 (x^3-1)}{x-5}]](https://tex.z-dn.net/?f=%204ln%20%5B%5Cfrac%7Bx%5E2%20%28x%5E3-1%29%7D%7Bx-5%7D%5D)
And that would be our final answer on this case.